1. Find the range of the following sets of data:
a. 8, 10, 12, 15, 20, 21
b. 1.2, 3.4, 7.6, 8.9, 10.3
c. 4, 7, 2, 5, 1, 9, 10
d. $2.35, $8.79, $1.20, $10.60, $1.03, $12.39
e. 0.45 m, 123 cm, 52 cm, 1.56 m 1250 mm, 2.3 m, 1040 mm
2. For each of the follwoing sets of data find:
(i) the median
(ii) the lower quartile
(iii) the upper quartile
(iv) the interquartile rangea. 3, 4, 5, 7, 8, 10, 12, 15, 20, 21, 25
b. 1, 2, 4, 6, 6, 7, 8, 12, 15, 26
c. 3.4, 5.6, 1.2, 5.6, 2.1, 7.8, 10.2
d. 5, 7, 2, 4, 1, 8, 0, 4
e. 54, 24, 65, 34, 12, 87, 98, 45, 32, 81, 45, 12, 36
3. The following two sets of information list the average annual rainfall in seven New Zealand centres in the North Island and the South Island.
a. Find the median, quartiles, range and interquartile range for each set of data.
b. Use your result to find which Island has the greatest spread of rainfall averages?
North Island |
Rainfall (mm)
|
South Island
|
Rainfall (mm)
|
|
Kaitaia |
1320
|
Nelson |
970
|
|
Auckland |
1105
|
Blenheim |
650
|
|
Hamilton |
1180
|
Hokitika |
2810
|
|
Napier |
815
|
Christchurch |
645
|
|
New Plymouth |
1455
|
Milford Sound |
6590
|
|
Palmerston North |
960
|
Dunedin |
800
|
|
Wellington |
1270
|
Invercargill |
1085
|